Methods and apparatus for seamlessly transitioning between lens projections. In one exemplary embodiment, a piecewise lens projection is composed of three (3) functions: (i) a first polynomial-based lens projection, (ii) a second “joining” lens projection, and (iii) a trigonometric lens projection. The piecewise lens projection characterizes virtualized lens distortion as a function of FOV; image data can be dynamically projected based on the virtualized lens distortion, regardless of FOV. In this manner, a user may achieve the visually familiar effects associated with a first lens definition for a first FOV, while still smoothly animating transitions to other lens projections (e.g., a larger FOV using stereographic projections).